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Finding the Fourth Proportional to 639.40, 896.38 and 639.40

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Solution

The fourth proportional to 639.40, 896.38 and 639.40 is: 896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.40 : 896.38 = 639.40 : x
  2. Step 2: Convert to fraction form
    639.40/896.38 = 639.40/x
  3. Step 3: Cross multiply
    639.40x = 896.38 × 639.40
  4. Step 4: Simplify right side
    639.40x = 573,142.18
  5. Step 5: Solve for x
    x = 573,142.18/639.40
  6. Step 6: Final answer
    x = 896.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.